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Finding the Fourth Proportional to 404.68, 605.44 and 222.24

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Solution

The fourth proportional to 404.68, 605.44 and 222.24 is: 332.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.68 : 605.44 = 222.24 : x
  2. Step 2: Convert to fraction form
    404.68/605.44 = 222.24/x
  3. Step 3: Cross multiply
    404.68x = 605.44 × 222.24
  4. Step 4: Simplify right side
    404.68x = 134,552.99
  5. Step 5: Solve for x
    x = 134,552.99/404.68
  6. Step 6: Final answer
    x = 332.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.